The thesis of Dr. Natanael C. Costa (UFRJ) investigates the properties of strongly correlated electron systems, i.e., when electronic interactions are non-negligible.
The PhD thesis “Numeric studies of charge ordering, magnetism and pairing” by Dr. Natanael Costa presents theoretical-numerical techniques to investigate the foundations of the emergence and competition between magnetism and superconductivity.
The thesis of Dr. Natanael C. Costa (UFRJ) investigates the properties of strongly correlated electron systems, i.e., when electronic interactions are non-negligible. The thesis, entitled "Numeric studies of charge ordering, magnetism and pairing", developed theoretical-computational methods to examine fundamental properties of the emergence and competition between magnetism, superconductivity, and charge ordering in quantum materials, in particular, by means of mean-field approaches, as well as quantum Monte Carlo and machine learning techniques for simplified models. Among the many issues, it is investigated (i) the competition between magnetism and superconductivity in borocarbides; (ii) nuclear magnetic resonance properties in heavy fermion materials; (iii) magnetism and transport properties in flat band systems; and (iv) competition between charge ordering and superconductivity in transition metal dichalcogenides compounds. The thesis presents insights on these topics, while opens avenues to further investigations, mainly related to the nature of charge ordering in quasi-2D systems.